CAJ | 학술논문

在典型的能量最优制导律基础上，将制导律的2个特征根从有限的点/线区域扩展到所有可能的正实根区域，进而提出制导律中的逆最优问题。详细讨论了逆最优问题中性能指标加权矩阵的构造过程，给出了加权矩阵和Riccati矩阵的计算公式；将控制权矩阵选为time-to-go的负n次幂的形式，对加权矩阵的求解进行了举例说明。对8组不同的特征根研究结果表明，尽管每一对可能的特征根取值都能找到最优解释，但这并不能保证与其对应的制导律都能达到与典型能量最优制导律类似的制导性能，特征根取值越靠近典型能量最优制导律，则相对应的制导特性也越接近。
재전형적능량최우제도률기출상，장제도률적2개특정근종유한적점/선구역확전도소유가능적정실근구역，진이제출제도률중적역최우문제。상세토론료역최우문제중성능지표가권구진적구조과정，급출료가권구진화Riccati구진적계산공식；장공제권구진선위time-to-go적부n차멱적형식，대가권구진적구해진행료거례설명。대8조불동적특정근연구결과표명，진관매일대가능적특정근취치도능조도최우해석，단저병불능보증여기대응적제도률도능체도여전형능량최우제도률유사적제도성능，특정근취치월고근전형능량최우제도률，칙상대응적제도특성야월접근。
Based on the typical energy optimal guidance laws ( TEOGL) ,the two characteristic roots ( CR) of the TEOGL were extended from a limited points/lines area to all the possible positive-real-roots area and the inverse optimal guidance problem was proposed.The construction procedure of the weighting matrices in the performance index of the inverse optimal problem was dis-cussed and the calculation equations of those weighting matrices and Riccati matrix were also present.As an example, the calculation procedure was demonstrated when the control weighting matrix was chosen as -n power of time-to-go. It is concluded that, for the eight pairs of different CR,although every possible pair of CR may have an optimal explanation,it can't guarantee a similar guidance performance with the TEOGL,except a pair of CR which is chosen to be close to the CR of the TEOGL.